Data.Colour.RGB:hslsv from colour-2.3.3, B

Average Error: 0.4 → 0.4

Time: 22.3s

Precision: 64

Math

\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]

↓

\[\frac{\left(x - y\right) \cdot 60.0}{z - t} + a \cdot 120.0\]

C

double f(double x, double y, double z, double t, double a) {
        double r42008326 = 60.0;
        double r42008327 = x;
        double r42008328 = y;
        double r42008329 = r42008327 - r42008328;
        double r42008330 = r42008326 * r42008329;
        double r42008331 = z;
        double r42008332 = t;
        double r42008333 = r42008331 - r42008332;
        double r42008334 = r42008330 / r42008333;
        double r42008335 = a;
        double r42008336 = 120.0;
        double r42008337 = r42008335 * r42008336;
        double r42008338 = r42008334 + r42008337;
        return r42008338;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r42008339 = x;
        double r42008340 = y;
        double r42008341 = r42008339 - r42008340;
        double r42008342 = 60.0;
        double r42008343 = r42008341 * r42008342;
        double r42008344 = z;
        double r42008345 = t;
        double r42008346 = r42008344 - r42008345;
        double r42008347 = r42008343 / r42008346;
        double r42008348 = a;
        double r42008349 = 120.0;
        double r42008350 = r42008348 * r42008349;
        double r42008351 = r42008347 + r42008350;
        return r42008351;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Target

Original	0.4
Target	0.2
Herbie	0.4

\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

1. Initial program 0.4

   \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]

2. Final simplification 0.4

   \[\leadsto \frac{\left(x - y\right) \cdot 60.0}{z - t} + a \cdot 120.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))